Least Common Multiple of 75/587, 40/118, 458/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/587, 40/118, 458/691 quickly i.e. 137400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/587, 40/118, 458/691 is 137400.

LCM(75/587, 40/118, 458/691) = 137400

LCM of 75/587, 40/118, 458/691

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 75/587,40/118,458/691

Given numbers are 75/587,40/118,458/691

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 75,40,458

Least Common Multiple of Numerators i.e. LCM of 75,40,458 is 137400.

GCF of Denominators means GCF of 587,118,691 as per the given fractions.

GCF of 587,118,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,40,458

LCM of Fractions 75/587,40/118,458/691 is 137400

2 75, 40, 458
5 75, 20, 229
15, 4, 229

∴ So the LCM of the given numbers is 2 x 5 x 15 x 4 x 229 = 137400

Least Common Multiple of 75,40,458 with GCF Formula

Least Common Multiple of 75,40,458 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 75,40,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,40,458) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(75,40,458) x common factors =1 x 10 = 10

LCM(75,40,458) = ( 75 × 40 × 458 ) / 10

LCM(75,40,458) = 1374000 / 10

LCM(75,40,458) = 137400


Lets's calculate GCF of 587,118,691

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137400/1

Therefore the LCM of Fractions 75/587,40/118,458/691 is 137400

Greatest Common Factor of 587,118,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 587,118,691 By Matching Biggest Common Factor Method

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 587,118,691 . The biggest common factor number is the GCF number.
So the greatest common factor 587,118,691 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 75/587, 40/118, 458/691

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 75/587, 40/118, 458/691?

Answer: LCM of Numerators as per given numbers 75/587, 40/118, 458/691 is

LCM of Numerators i.e. for 75,40,458 is 137400

GCF of denominators i.e. for 587,118,691 is 1.

Thus, LCM of Fractions is 137400.Finally, LCM of Fractions for 75/587, 40/118, 458/691 is 137400.